Suppose f(t) and g(t) are 2π periodic functions with Fourier series representations {see attachment}. Find the Fourier series of {see attachment}.
Finding a polynomial whose Fourier representation decays
See attachment. Found small typo in original posting. Please look again.
Find the best L1 linear approximation of ex on [0,1]... see attachment
Locate and classify all isolated singularities (see attached). No calculator or computer allowed.
Use Fourier transform to solve the following differential equation: g" + 2g' + 5g = delta(x) Where delta is the dirac delta function (impulse).
Solve the Schrodinger equation with different potentials using the Fourier transform.
Laplace transform and the heat equation
Solve the heat equation for a semi-infinite long thin rod kept initially at zero degrees using Laplace transfrom
Where f(x) is a given forcing function...
What is the solution to Y’’(x) + 2y’(x) + 5y(x) = f(x) Where f(x) is a given forcing function, and y and f both decay to 0 as x +_ INF Note: should read “as x approaches plus or minus infinity”
I have to find the fourier series of the problem and sketch the graph of the function at 3 periods
f(x)= {0 -2
Application of Fourier Transfors to Diffusion
Using Fourier Transforms, solve the one-dimensional equation for a point source located at x=xo, i.e., at time zero, c(x,0) = (delta)(x-xo)
